Question

# Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.y=sqrt(x - 2) - 1

Performing transformations

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
$$y=\sqrt{x - 2} - 1$$

## Expert Answers (1)

2021-01-20

To determine:
Graph of $$y=\sqrt{x−2}−1$$ by applying appropriate transformation.
Firstly, we will draw graph of $$y=\sqrt{x}$$ which is given by:Y1
now, we will draw graph of $$y=\sqrt{x−2}$$ by shifting the graph of $$y=\sqrt{x}$$ two units towards right.
So, the graph of $$y=\sqrt{x−2}$$ is as follows:Y2
Now, we will draw graph of $$y=\sqrt{x−2}−1$$ by shifting the graph of $$y=\sqrt{x−2}$$ one unit downward along y axis.
The graph of $$y=\sqrt{x−2}−1$$ is given by:Y3